论文标题

Lipschitz非线性的自主进化方程的周期估计值

Period Estimates for Autonomous Evolution Equations with Lipschitz Nonlinearities

论文作者

Ćwiszewski, Aleksander, Klinikowski, Władysław

论文摘要

我们得出了对自主性强烈抑制双曲线问题最小时期的估计值。我们的结果对应于Yorke,Busenberg等人的作品。对于普通的微分方程以及Robinson和Vidal-Lopez,用于抛物线问题。开发了一种用于治疗双曲线和抛物线问题的一般方法。提供了应用于一类梁方程的示例。

We derive an estimate for the minimal period of autonomous strongly damped hyperbolic problems. Our result corresponds to the works by Yorke, Busenberg et al. for ordinary differential equations as well as Robinson and Vidal-Lopez for parabolic problems. A general approach is developed for treating both hyperbolic and parabolic problems. An example of application to a class of beam equations is provided.

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